Find the LCM of 582, 946, 745, 753 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 582, 946, 745, 753. So, keep reading to learn more.
Given numbers are 582,946,745,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,946,745,753 is 51477105570.
Find LCM of 582,946,745,753 with Prime Factorization
2 | 582, 946, 745, 753 |
3 | 291, 473, 745, 753 |
97, 473, 745, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 97 x 473 x 745 x 251 = 51477105570
Therefore, the lowest common multiple of 582,946,745,753 is 51477105570.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
582 x 946 x 745 x 753 = 308862633420
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
582 : 1, 2, 3, 6, 97, 194, 291, 582
946 : 1, 2, 11, 22, 43, 86, 473, 946
745 : 1, 5, 149, 745
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,946,745,753, is 1.
Now, the common factors can be found like this.
582:2x 3x 97
946:2x 11x 43
745:5x 149
753:3x 251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 308862633420/(1x6)
LCM = 308862633420/6
LCM = 51477105570
Thus, we can understand that the LCM of 582,946,745,753 is 51477105570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 582, 946, 745, 753?
Answer: LCM of 582, 946, 745, 753 is 51477105570.
2. How to calculate the LCM of 582, 946, 745, 753?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 582, 946, 745, 753.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.